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Finding the Fourth Proportional to 7,878.30, 11,817.90 and 2,034.75

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Solution

The fourth proportional to 7,878.30, 11,817.90 and 2,034.75 is: 3,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.30 : 11,817.90 = 2,034.75 : x
  2. Step 2: Convert to fraction form
    7,878.30/11,817.90 = 2,034.75/x
  3. Step 3: Cross multiply
    7,878.30x = 11,817.90 × 2,034.75
  4. Step 4: Simplify right side
    7,878.30x = 24,046,472.03
  5. Step 5: Solve for x
    x = 24,046,472.03/7,878.30
  6. Step 6: Final answer
    x = 3,052.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.